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Finding the Third Proportional to 156,569.25 and 348,996.75

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Solution

The third proportional to 156,569.25 and 348,996.75 is: 777,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,569.25 : 348,996.75 = 348,996.75 : x
  2. Step 2: Convert to fraction form
    156,569.25/348,996.75 = 348,996.75/x
  3. Step 3: Cross multiply
    156,569.25x = 348,996.75 × 348,996.75
  4. Step 4: Simplify right side
    156,569.25x = 121,798,731,510.56
  5. Step 5: Solve for x
    x = 121,798,731,510.56/156,569.25
  6. Step 6: Final answer
    x = 777,922.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.